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Finding the Fourth Proportional to 745.72, 1,028.74 and 524.79

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Solution

The fourth proportional to 745.72, 1,028.74 and 524.79 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.72 : 1,028.74 = 524.79 : x
  2. Step 2: Convert to fraction form
    745.72/1,028.74 = 524.79/x
  3. Step 3: Cross multiply
    745.72x = 1,028.74 × 524.79
  4. Step 4: Simplify right side
    745.72x = 539,869.84
  5. Step 5: Solve for x
    x = 539,869.84/745.72
  6. Step 6: Final answer
    x = 723.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.